Vincenzo Vitelli, Chicago University, Chicago, USA

Hydrodynamics and phase transitions in active matter (12h)

1. Odd elasticity

Continuum mechanics of non-conservative media

Microscopic models

The notions of non-reciprocity and chirality in odd-elastic media

Basic phenomenology of active solids

Experimental considerations

2. Chiral Hydrodynamics

Hydrodynamic description of Chiral active fluids

Odd viscosity

The odd ideal gas: from non-Hermitian Kinetic theory to chiral hydrodynamics

Basic phenomenology of chiral active fluids

Experimental considerations

3. Non reciprocal phase transitions

Phase transitions without an energy landscape

Exceptional points

Time dependent phases

Examples: non-reciprocal flocking, synchronization and pattern formation

Experimental considerations